Question

How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3m by 75 cm by 50 cm , assuming that there is no wastage.

Answer 1

Answer:

Number of wooden cubical blocks that can be cut:

=Volume of wood/ Volume of cubical blocks

3m×75cm×50cm

= ----------------------------------

25cm×25cm×25cm

300cm×75cm×50cm

= ----------------------------------

25cm×25cm×25cm

=72

Thus, 72 wooden cubical blocks can be cut from the log of wood.

Answer 2

$\huge\mathbb{SOLUTION:-}$

The length of the side of the cubical block = $\mathsf { 25\:Cm}$

volume of the one cubical block =$\mathsf { 25\times 25\times 25\:Cubic\:Cm}$

Let, the required number of blocks be N.

$\therefore$The volume of the N cubical blocks =$\mathsf {Volume\:of\:wood}$

$\implies \mathsf {N\times253\:=\:300\times 75\times 50}$

$\implies \mathsf {N=12\times 3\times 2\:=\:72}$

Thus, required number of blocks are 72.